Partial Differential Equations (PDE) are ubiquitous in essentially all sciences and engineering, and have important interactions with several branches of pure mathematics, including Geometry and Probability.

Our research in PDE covers a wide variety of topics and connections to other areas, including: regularity and smoothness of solutions to nonlinear PDE; free boundary problems and minimal surfaces; nonlocal equations arising in probability, physics, or geometry; reaction-diffusion equations, including those modelling population dynamics; isoperimetric problems and other geometric inequalities; PDEs arising in fluid mechanics, statistical mechanics, and relativistic quantum mechanics.

GROUP LEADERS

Xavier Cabré

ICREA – UPC – CRM

xavier.cabre@upc.edu 

Gyula Csato

UB – CRM

gyula.csato@ub.edu

Albert Mas

UPC – CRM

albert.mas.blesa@upc.edu 

Xavier Ros-Oton

ICREA – UB – CRM

xros@icrea.cat 

Tomás Sanz

UB – CRM

tomas.sanz.perela@ub.edu 

 

Alberto Maione
CRM

Postdoc

amaione@crm.cat

PI: Xavier Cabré

Joaquim Duran
CRM

PhD Student

jduran@crm.cat

PI: Albert Mas